more from Arnauld / Nicole

Single Idea 10502

[catalogued under 7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction]

Full Idea

I can start with a triangle, and rise by degrees to all straight-lined figures and to extension itself. The lower degree will include the higher degree. Since the higher degree is less determinate, it can represent more things.

Gist of Idea

We can rise by degrees through abstraction, with higher levels representing more things


Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)

Book Reference

Arnauld,A/Nicole,P: 'Logic, or the Art of Thinking (Port-Royal)', ed/tr. Buroker,J.V. [CUP 1996], p.38

A Reaction

[compressed] This attempts to explain the generalising ability of abstraction cited in Idea 10501. If you take a complex object and eliminate features one by one, it can only 'represent' more particulars; it could hardly represent fewer.

Related Idea

Idea 10501 A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]